On September 7, 2026, arXiv published a study on artificial intelligence reasoning mechanisms. The study indicated that the slowdown in the speed of modern reasoning models when handling complex tasks such as Sudoku, maze solving, visual puzzles, and mathematical logic is not an accidental failure, but rather results from their being trapped in the “fractal basin” of dynamical systems. The study found that as the difficulty of the task increases, the time taken for the model to be caught at鞍 points near the potential correct solution prolongs, leading to increased transient chaos and a significant slowdown in reasoning. This phenomenon was identified as a new category of dynamical systems, confirming that the slowdown in reasoning is an inevitable result of increasing task difficulty.